Constructing the Fermat Point of a given triangle: Draw three regular triangles on each side of it, join their outlying vertex with the opposite triangle's vertex, and the lines intersect at the Fermat Point. Note that this point is a valid solution to the shortest total distance problem only for triangle with the greatest angle less then 120 degrees. N.B. all information are included in the metadata of this svg file.
frame(-3.5, -6, 7.5, 7) B C A triangle(6, 75:, 35:) C B P equilateral A C Q equilateral B A R equilateral s = segment(A, P) t = segment(B, Q) u = segment(C, R) F = intersection(line(A, P), line(B, Q)) color(red) thickness(2) draw(s) draw(t) draw(u) draw(F) thickness(0.5) color(black) thickness(4) draw(B, C, A) thickness(0.25) draw(B, C, P, dashed) draw(A, C, Q, dashed) draw(B, A, R, dashed) mark(segment(A, B), simple) mark(segment(A, R), simple) mark(segment(B, R), simple) mark(segment(A, C), double) mark(segment(A, Q), double) mark(segment(C, Q), double) mark(segment(B, C), triple) mark(segment(B, P), triple) mark(segment(C, P), triple)
# Run eukleides and compile it into en:PSTricks. # Paste the resulting code in the following en:TeX file and compile it into eps.
\documentclass {article} \usepackage {pstricks} \usepackage {color} \begin {document} \pagestyle {empty} \colorbox {white} { %Paste the code here } \end {document}
# Import the eps file using en:Scribus. (Remember to install en:ghostscript also and configure the path to ghostscript correctly in Scribus's Preferences) # And then export it to en:svg. # Post-process using en:Inkscape.
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The source is licensed under the same license as the image. ; Feel free to edit, fix, or improve it!
Constructing the Fermat Point of a given triangle: Draw three regular triangles on each side of it, join their outlying vertex with the opposite triangle's vertex, and the lines intersect at the Fermat Point. Note that this point is a valid solution to
ไฟล, fermat, point, ไฟล, ประว, ไฟล, หน, าท, ภาพน, การใช, ไฟล, วนกลางขนาดของต, วอย, าง, ของไฟล, กเซล, ความละเอ, ยดอ, กเซล, กเซล, กเซล, กเซล, กเซล, ภาพท, ความละเอ, ยดส, งกว, 8206, ไฟล, กเซล, ขนาดไฟล, โลไบต, ปภาพหร, อไฟล, เส, ยงน, นฉบ, บอย, คอมมอนส, รายละเอ, ยดด,. ifl prawtiifl hnathimiphaphni karichiflswnklangkhnadkhxngtwxyang PNG nikhxngifl SVG ni 350 400 phikesl khwamlaexiydxun 210 240 phikesl 420 480 phikesl 672 768 phikesl 896 1 024 phikesl 1 792 2 048 phikesl duphaphthimikhwamlaexiydsungkwa 8206 ifl SVG 350 400 phikesl khnadifl 11 kiolibt rupphaphhruxiflesiyngni tnchbbxyuthi khxmmxns raylaexiyddanlang epnkhxkhwamthiaesdngphlcak ifltnchbbinkhxmmxns khxmmxnsepnewbistinokhrngkarsahrbekbrwbrwmsuxesri thi khunsamarthchwyid khwamyx khaxthibayFermat Point svg Constructing the Fermat Point of a given triangle Draw three regular triangles on each side of it join their outlying vertex with the opposite triangle s vertex and the lines intersect at the Fermat Point Note that this point is a valid solution to the shortest total distance problem only for triangle with the greatest angle less then 120 degrees N B all information are included in the metadata of this svg file frame 3 5 6 7 5 7 B C A triangle 6 75 35 C B P equilateral A C Q equilateral B A R equilateral s segment A P t segment B Q u segment C R F intersection line A P line B Q color red thickness 2 draw s draw t draw u draw F thickness 0 5 color black thickness 4 draw B C A thickness 0 25 draw B C P dashed draw A C Q dashed draw B A R dashed mark segment A B simple mark segment A R simple mark segment B R simple mark segment A C double mark segment A Q double mark segment C Q double mark segment B C triple mark segment B P triple mark segment C P triple Run eukleides and compile it into en PSTricks Paste the resulting code in the following en TeX file and compile it into eps documentclass article usepackage pstricks usepackage color begin document pagestyle empty colorbox white Paste the code here end document Import the eps file using en Scribus Remember to install en ghostscript also and configure the path to ghostscript correctly in Scribus s Preferences And then export it to en svg Post process using en Inkscape aehlngthima The source is licensed under the same license as the image Feel free to edit fix or improve it phusrangsrrkh Lemontea karxnuyatichsiththi khapheca inthanaphuthuxlikhsiththikhxngphaphhruxsuxni xnuyatihichphaphhruxsuxniphayitenguxnikhtxipni xnuyatihkhdlxk aeckcayaela hruxddaeprexksarniphayitenguxnikhkhxngsyyaxnuyatexksaresrikhxngknu run 1 2 hruxrunid nbcaknithixxkodymulnithisxftaewresri odyimmiswnidhamaekikh immikhxkhwampkhnaaelapkhlng saenakhxngsyyaxnuyatrwmxyuinswnchux syyaxnuyatexksaresrikhxngknuhttp www gnu org copyleft fdl html GFDL GNU Free Documentation License true trueiflnixyuphayitsyyaxnuyat khriexthifkhxmmxns aebbaesdngthima xnuyataebbediywkn 3 0 tnchbbkhunsamarth thicaaebngpn thicathasaena aeckcay aelasngngandngklawtxip thicaeriyberiyngihm thicaddaeplngngandngklaw phayitenguxnikhtxipni aesdngthima khuntxngihekiyrtiecakhxngnganxyangehmaasm odyephimlingkipyngsyyaxnuyat aelarabuhakmikarepliynaeplng khunxacthaechnniidinrupaebbidkidtamkhwr aettxngimichinlksnathiaenawaphuihxnuyatsnbsnunkhunhruxkarichngankhxngkhun xnuyataebbediywkn hakkhunddaeplng epliynrup hruxtxetimnganni khuntxngichsyyaxnuyataebbediywknhruxaebbthiehmuxnkbsyyaxnuyatthiichkbnganniethannpayaesdngsthanalikhsiththinithukephimephuxihepniptamkarepliynaeplngsyyaxnuyatkhxngmulnithiwikimiediy cak GFDL ipyng GFDL khwbkhukb CC BY SA 3 0 http creativecommons org licenses by sa 3 0 CC BY SA 3 0 Creative Commons Attribution Share Alike 3 0 true trueiflnixyuphayitsyyaxnuyatkhriexthifkhxmmxns runaesdngthima xnuyataebbediywkn 2 5 thwip 2 0 thwip aela 1 0 thwipkhunsamarth thicaaebngpn thicathasaena aeckcay aelasngngandngklawtxip thicaeriyberiyngihm thicaddaeplngngandngklaw phayitenguxnikhtxipni aesdngthima khuntxngihekiyrtiecakhxngnganxyangehmaasm odyephimlingkipyngsyyaxnuyat aelarabuhakmikarepliynaeplng khunxacthaechnniidinrupaebbidkidtamkhwr aettxngimichinlksnathiaenawaphuihxnuyatsnbsnunkhunhruxkarichngankhxngkhun xnuyataebbediywkn hakkhunddaeplng epliynrup hruxtxetimnganni khuntxngichsyyaxnuyataebbediywknhruxaebbthiehmuxnkbsyyaxnuyatthiichkbnganniethannhttps creativecommons org licenses by sa 2 5 CC BY SA 2 5 Creative Commons Attribution Share Alike 2 5 true truekhunsamartheluxksyyaxnuyatdngklawtamtxngkarkhabrryayodyyxithyephimkhabrryaythrrthdediywephuxkhyaykhwamwaiflnimixairixethmthiaesdngxyuiniflniprakxbdwyphusrangbangkhathiimmiixethmwikisnethschuxphuichwikimiediy Lemonteachuxphusrangsrrkh Lemonteayuxaraexl https commons wikimedia org wiki user LemonteasthanalikhsiththimilikhsiththisyyaxnuyatCreative Commons Attribution ShareAlike 2 5 Generic xngkvsCreative Commons Attribution ShareAlike 3 0 Unported xngkvsCreative Commons Attribution ShareAlike 1 0 Generic xngkvsGNU Free Documentation License version 1 2 or later xngkvsCreative Commons Attribution ShareAlike 2 0 Generic xngkvs prawtiifl khlikwnthi ewlaephuxduiflthipraktinkhnann wnthi ewlarupyxkhnadphuichkhwamehn pccubn08 20 11 minakhm 2549350 400 11 kiolibt Lemontea commonswikiConstructing the Fermat Point of a given triangle Draw three regular triangles on each side of it join their outlying vertex with the opposite triangle 039 s vertex and the lines intersect at the Fermat Point Note that this point is a valid solution to hnathimiphaphni hnatxipni oyngmathiphaphni exwneclista txrriechlli karichiflswnklang wikixuntxipniichiflni karichbn ar wikipedia org نقطة فيرما karichbn en wikipedia org Fermat point karichbn es wikipedia org Punto de Fermat karichbn hu wikipedia org Izogonalis pont karichbn it wikipedia org Punto di Fermat karichbn ja wikipedia org フェルマー点 karichbn nl wikipedia org Punt van Fermat karichbn pt wikipedia org Ponto de Fermat karichbn ta wikipedia org ப ர ம ப ள ள karichbn uk wikipedia org Tochka Ferma karichbn www wikidata org Q914929 ekhathungcak https th wikipedia org wiki ifl Fermat Point svg, wikipedia, วิกิ หนังสือ, หนังสือ, ห้องสมุด,